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Finding the Third Proportional to 61,492 and 94,022.50

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Solution

The third proportional to 61,492 and 94,022.50 is: 143,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,492 : 94,022.50 = 94,022.50 : x
  2. Step 2: Convert to fraction form
    61,492/94,022.50 = 94,022.50/x
  3. Step 3: Cross multiply
    61,492x = 94,022.50 × 94,022.50
  4. Step 4: Simplify right side
    61,492x = 8,840,230,506.25
  5. Step 5: Solve for x
    x = 8,840,230,506.25/61,492
  6. Step 6: Final answer
    x = 143,762.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.